Université Jean Monnet
(Saint-Étienne)
Institut Camille Jordan
Atelier de travail
"Sur le théorème d'Estrada-Kanwal"
Workshop "On the Estrada-Kanwal theorem"
Saint-Étienne,
20 mai - 6 juin 2014
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Lien vers l'article d'Estrada-Kanwal
¤ The
Estrada-Kanwal theorem
Other open problems/Problèmes ouverts liés
R. Giuliano - G. Grekos - L. Misik : Open
problems on densities II, 2010
Unsolved
problems, (edited by Oto Strauch),Uniform Distribution Theory, 2013
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Comité Scientifique:
Vladimir Balaz (Bratislava)
Rita Giuliano-Antonini (Pisa)
Pierre Liardet (Marseille)
Ladislav Misik (Ostrava)
Oto Strauch (Bratislava)
=============================================
Atelier soutenu par / Workshop sponsorized by :
Conseil scientifique de l' Université de St Etienne, France
Institut Camille Jordan, France
Université d'Ostrava, République Tchèque
Univeristé Comenius, Bratislava, Slovaquie
Université Technique de Bratislava, Slovaquie
Université de Pise, Italie
=============================================
Comité d'organisation:
Vladimir Balaz (Bratislava + St Etienne)
Alain Faisant (St Etienne)
Rita Giuliano-Antonini (Pisa)
Georges Grekos (St Etienne)
Ladislav Misik (Ostrava)
=======================================
PARTICIPANTS:
Roland Bacher (Grenoble) ¤ [4/6 - 5/6]
Vladimir Balaz (Bratislava)
¤ [26/5 - 25/6]
Rita Giuliano-Antonini (Pisa) ¤ [26/5 - 7/6]
Martin Kolar (Ostrava) ¤ [19/5 -
6/6]
Ladislav Misik (Ostrava) ¤ [19/5 -
6/6]
Martin Sleziak (Bratislava) ¤ [26/5 -
6/6]
Jan Sustek (Ostrava) ¤ [19/5 - 6/6]
et les membres de l'ICJ.
Lien vers le site de l'Institut
Camille Jordan
Lien vers la page
personnelle de G. Grekos
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PROGRAMME.
EXPOSÉS - TALKS :
Martin Sleziak.
Séminaire ModMad. "Density
measures"
ABSTRACT.
Density measures are finitely additive measures on N which extend
asymptotic density. They can be considered as a way to assigning some
kind of "size" to each subset of N and they are used in various areas,
for example, social choice theory. We will show that these measures
can be characterized by the property that they are invariant with
respect to
Lévy group. We will discuss which values can density measures
attain
for a given set. If the time permits, we will also mention a
correspondence between finitely additive measures on N and linear
continuous functionals on $\ell^\infty$ and discuss, which functionals
correspond to density measures.
Text and slides are here:
http://thales.doa.fmph.uniba.sk/sleziak/papers/dmslides.pdf
http://thales.doa.fmph.uniba.sk/sleziak/papers/dmtalk.pdf
Page du séminaire: https://www.gate.cnrs.fr/spip.php?article556
Site Tréfilerie, Université Jean Monnet, Campus
Tréfilerie : Accès par la maison de l’Université,
10, rue Tréfilerie in Saint-Etienne.
New GATE building, Seminars room.
Jan Sustek. LYON
(SÉMINAIRE DE
COMBINATOIRE ET DE THÉORIE DES NOMBRES). 3/6/2014, 10:45,
Campus de la Doua, Villeurbanne.
TITLE: "New
bounds for irrationality
measures of some fast converging sequences"
ABSTRACT: For a real number~$\xi$ its
irrationality measure~$\mu(\xi)$ is defined as the supremum of all
positive real numbers~$\mu$ such that the inequality
$$0<\biggl|\xi-\frac{p}{q}\biggr|<\frac{1}{q^\mu}$$
has infinitely many solutions $p\in\ZZ$, $q\in\ZZ^+$. Irrationality
measure describes how closely the number~$\xi$ can be approximated by
rational numbers. The talk presents new upper bounds for irrationality
measures of some fast converging series of rational numbers. The
results depend only on speed of convergence of the series and do not
depend on arithmetical properties of the terms.
Georges Grekos.
2/6/2014, 14h15. TITLE: "A density?"
ABSTRACT: Let $A$ be a subset of {\bf
N} . The quantity $a_0$ such that the series $\sum_{a\in
A ; a>1} n^{-1} {\ln n}^{-a}$
converges if $a>a_0$ and diverges if $a<a_0$
, is a kind of density of $A$ .
Ladislav Misik.
2/6/2014., 15:00.
TITLE: "On a class of cardinal
densities".
ABSTRACT
Martin Kolar.
5/6/2014, 10:15.
TITLE: "Determinants of Hess matrices".
SÉANCES DE TRAVAIL - WORKING SESSIONS :
20/5/2014 salle A 3 10:15 On
the
Estrada-Kanwal theorem
21/5/2014 salle A 16 10:15 Generalizations of
Olivier's theorem
22/5/2014 salle A 16 10:15 On the
Estrada-Kanwal theorem
23/5/2014 salle A 16 10:15 On the
Beurling-Malliavin density
26/5/2014 salle A 16 10:15 A new density
27/5/2014 salle A 16 10:15 On I-variation
28/5/2014 salle A 16 10:15 On the
Estrada-Kanwal theorem
2/6/2014 salle A 17 10:15 On
I-variation
3/6/2014 salle A 17 10:15 On the
Estrada-Kanwal theorem
4/6/2014 salle A 17 10:15 On
density measures
5/6/2014 salle A 17 10:15 On the
Estrada-Kanwal theorem
6/6/2014 salle A 17 10:15 On a
distribution function defined on combinations